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Finding the Fourth Proportional to 927.28, 1,278.75 and 577.90

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Solution

The fourth proportional to 927.28, 1,278.75 and 577.90 is: 796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.28 : 1,278.75 = 577.90 : x
  2. Step 2: Convert to fraction form
    927.28/1,278.75 = 577.90/x
  3. Step 3: Cross multiply
    927.28x = 1,278.75 × 577.90
  4. Step 4: Simplify right side
    927.28x = 738,989.63
  5. Step 5: Solve for x
    x = 738,989.63/927.28
  6. Step 6: Final answer
    x = 796.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.